SOLUTION: Mary and Eve have the same number of roses. After Eve gave her mother 4/5 of her roses and Mary gave her friends 3/4 of her roses, then the number of roses Mary had left was 3 more

Algebra ->  Finance -> SOLUTION: Mary and Eve have the same number of roses. After Eve gave her mother 4/5 of her roses and Mary gave her friends 3/4 of her roses, then the number of roses Mary had left was 3 more      Log On


   

Question 1142541: Mary and Eve have the same number of roses. After Eve gave her mother 4/5 of her roses and Mary gave her friends 3/4 of her roses, then the number of roses Mary had left was 3 more than the number of roses Eve had left.
How many roses did Eve have at first?
Can someone help with this question?
Thanks in advance

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Mary and Eve have the same number of roses.
After Eve gave her mother 4/5 of her roses and Mary gave her friends 3/4 of her roses, then the number of roses Mary had left was 3 more than the number of roses Eve had left.
How many roses did Eve have at first?
:
let r = no. of Roses Eve & Mary had originally
:
Eve has left = Mary has left - 3
1%2F5r = 1%2F4r - 3
multiply by 20, cancel the denominators
4r = 5r - 60
4r - 5r = -60
-r = -60
r = 60 roses originally